Calculate The Total Magnification of The Following Objective Lens
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Reviewed by Calculator Editorial Team
Determining the total magnification of an objective lens is essential for accurate microscopy and optical measurements. This calculator helps you compute the total magnification by considering both the objective lens and the eyepiece (ocular lens) magnifications.
How to calculate the total magnification
The total magnification of a microscope or optical system is calculated by multiplying the magnification of the objective lens by the magnification of the eyepiece (ocular lens).
To find the total magnification:
- Identify the magnification of the objective lens (typically marked on the lens barrel)
- Identify the magnification of the eyepiece (usually 10x or 15x)
- Multiply these two values to get the total magnification
Important Note
The eyepiece magnification is typically fixed at 10x or 15x, while the objective lens magnification can vary (common values are 4x, 10x, 40x, and 100x).
The magnification formula
Total Magnification Formula
Total Magnification = Objective Lens Magnification × Eyepiece Magnification
This formula provides the combined magnification power of the microscope system, which determines how much larger an object appears through the microscope compared to its actual size.
Worked example
Let's calculate the total magnification for a microscope with a 40x objective lens and a 10x eyepiece:
- Objective lens magnification = 40x
- Eyepiece magnification = 10x
- Total magnification = 40 × 10 = 400x
This means the microscope will magnify the specimen 400 times its actual size.
| Objective Lens (x) | Eyepiece (x) | Total Magnification (x) |
|---|---|---|
| 4x | 10x | 40x |
| 10x | 10x | 100x |
| 40x | 10x | 400x |
| 100x | 15x | 1500x |
FAQ
What is the difference between objective lens magnification and total magnification?
The objective lens magnification refers to the magnification provided by the objective lens alone, while total magnification combines the objective lens magnification with the eyepiece magnification to give the overall magnification power of the microscope.
Can I use this calculator for telescopes?
No, this calculator is specifically designed for microscope magnification calculations. Telescopes use a different magnification formula that considers the focal lengths of the objective and eyepiece lenses.
What if I don't know the eyepiece magnification?
Most standard eyepieces have magnifications of 10x or 15x. If you're unsure, check the markings on the eyepiece barrel or consult the microscope's user manual.